**Least
Squares**

In the following
applet, you are to move the line by moving either the point called G or the
point called H until you find the smallest sum of squares.

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1. What value did you
find for the smallest sum of squares.

2. The line of best fit
is often referred to as the least squares regression line. Explain what is meant
by the term least squares in the context of the line of best fit.

3. For this question leave your
line with the least squares fixed and move the points labeled A through F. Move
all of the points so that the sum of the squares is 0. Describe the relative
positions of the points.

4. Describe what happens as the points
are moved further away from the line. What is the largest sum of squares that
you can find under the condition that all squares be contained within the frame.